Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations
In this paper we proposed Spectral Homotopy analysis method to solve nonlinear Volterra integro-differential equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to hom...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/39085/1/39085.pdf |
| _version_ | 1825949344537247744 |
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| author | Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem |
| author_facet | Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem |
| author_sort | Atabakan, Zohreh Pashazadeh |
| collection | UPM |
| description | In this paper we proposed Spectral Homotopy analysis method to solve nonlinear Volterra integro-differential equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to homotopy analysis method and exact analytical solutions.
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| first_indexed | 2024-03-06T08:43:07Z |
| format | Article |
| id | upm.eprints-39085 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:43:07Z |
| publishDate | 2014 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-390852015-09-04T11:16:45Z http://psasir.upm.edu.my/id/eprint/39085/ Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem In this paper we proposed Spectral Homotopy analysis method to solve nonlinear Volterra integro-differential equations. Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to homotopy analysis method and exact analytical solutions. Institute for Mathematical Research, Universiti Putra Malaysia 2014-10 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39085/1/39085.pdf Atabakan, Zohreh Pashazadeh and Nasab, Aliasghar Kazemi and Kilicman, Adem (2014) Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations. Malaysian Journal of Mathematical Sciences, 8 (S). pp. 153-161. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol8soct/13.%20ZOHRE%20&%20adem.pdf |
| spellingShingle | Atabakan, Zohreh Pashazadeh Nasab, Aliasghar Kazemi Kilicman, Adem Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations |
| title | Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations |
| title_full | Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations |
| title_fullStr | Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations |
| title_full_unstemmed | Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations |
| title_short | Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations |
| title_sort | spectral homotopy analysis method for solving nonlinear volterra integro differential equations |
| url | http://psasir.upm.edu.my/id/eprint/39085/1/39085.pdf |
| work_keys_str_mv | AT atabakanzohrehpashazadeh spectralhomotopyanalysismethodforsolvingnonlinearvolterraintegrodifferentialequations AT nasabaliasgharkazemi spectralhomotopyanalysismethodforsolvingnonlinearvolterraintegrodifferentialequations AT kilicmanadem spectralhomotopyanalysismethodforsolvingnonlinearvolterraintegrodifferentialequations |